4a-3(5a-14)=5(7-a)-9

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Solution for 4a-3(5a-14)=5(7-a)-9 equation:


Simplifying
4a + -3(5a + -14) = 5(7 + -1a) + -9

Reorder the terms:
4a + -3(-14 + 5a) = 5(7 + -1a) + -9
4a + (-14 * -3 + 5a * -3) = 5(7 + -1a) + -9
4a + (42 + -15a) = 5(7 + -1a) + -9

Reorder the terms:
42 + 4a + -15a = 5(7 + -1a) + -9

Combine like terms: 4a + -15a = -11a
42 + -11a = 5(7 + -1a) + -9
42 + -11a = (7 * 5 + -1a * 5) + -9
42 + -11a = (35 + -5a) + -9

Reorder the terms:
42 + -11a = 35 + -9 + -5a

Combine like terms: 35 + -9 = 26
42 + -11a = 26 + -5a

Solving
42 + -11a = 26 + -5a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5a' to each side of the equation.
42 + -11a + 5a = 26 + -5a + 5a

Combine like terms: -11a + 5a = -6a
42 + -6a = 26 + -5a + 5a

Combine like terms: -5a + 5a = 0
42 + -6a = 26 + 0
42 + -6a = 26

Add '-42' to each side of the equation.
42 + -42 + -6a = 26 + -42

Combine like terms: 42 + -42 = 0
0 + -6a = 26 + -42
-6a = 26 + -42

Combine like terms: 26 + -42 = -16
-6a = -16

Divide each side by '-6'.
a = 2.666666667

Simplifying
a = 2.666666667

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